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Finding the Fourth Proportional to 8,534.97, 12,794.65 and 7,227.14

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Solution

The fourth proportional to 8,534.97, 12,794.65 and 7,227.14 is: 10,834.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.97 : 12,794.65 = 7,227.14 : x
  2. Step 2: Convert to fraction form
    8,534.97/12,794.65 = 7,227.14/x
  3. Step 3: Cross multiply
    8,534.97x = 12,794.65 × 7,227.14
  4. Step 4: Simplify right side
    8,534.97x = 92,468,644.76
  5. Step 5: Solve for x
    x = 92,468,644.76/8,534.97
  6. Step 6: Final answer
    x = 10,834.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.